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Finding the Third Proportional to 8,467,098 and 12,719,721

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Solution

The third proportional to 8,467,098 and 12,719,721 is: 19,108,235.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,467,098 : 12,719,721 = 12,719,721 : x
  2. Step 2: Convert to fraction form
    8,467,098/12,719,721 = 12,719,721/x
  3. Step 3: Cross multiply
    8,467,098x = 12,719,721 × 12,719,721
  4. Step 4: Simplify right side
    8,467,098x = 161,791,302,317,841
  5. Step 5: Solve for x
    x = 161,791,302,317,841/8,467,098
  6. Step 6: Final answer
    x = 19,108,235.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.